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Finding the Fourth Proportional to 463,667,999.60, 695,501,999.40 and 221,803,295.60

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Solution

The fourth proportional to 463,667,999.60, 695,501,999.40 and 221,803,295.60 is: 332,704,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,667,999.60 : 695,501,999.40 = 221,803,295.60 : x
  2. Step 2: Convert to fraction form
    463,667,999.60/695,501,999.40 = 221,803,295.60/x
  3. Step 3: Cross multiply
    463,667,999.60x = 695,501,999.40 × 221,803,295.60
  4. Step 4: Simplify right side
    463,667,999.60x = 154,264,635,563,309,216
  5. Step 5: Solve for x
    x = 154,264,635,563,309,216/463,667,999.60
  6. Step 6: Final answer
    x = 332,704,943.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.